Financial Mathematics

Expected Monetary Value

Calculate the probability-weighted value of a two-outcome scenario.

Your numbers

Sample inputs are illustrative. Changing currency changes labels only.

Your result

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How to use this calculator

  1. Enter positive outcome amount, other outcome amount, probability of first outcome (%).
  2. Choose a display currency, then select Calculate. Results also update after a brief pause while you edit.
  3. Read the result with the assumptions below. Export details or save a second scenario to compare your choices.

Formula and method

EMV=p×first outcome+(1−p)×second outcome.

Assumptions and limitations

Probabilities are user assumptions; expected value is neither a likely single result nor a measure of risk tolerance.

Worked example

With positive outcome amount = 1000, other outcome amount = -200, probability of first outcome (%) = 30, expected monetary value is approximately 160.

What the result means

Calculate the probability-weighted value of a two-outcome scenario.

Common questions

How should I interpret expected monetary value?

Calculate the probability-weighted value of a two-outcome scenario.

What should I check before using this result?

Probabilities are user assumptions; expected value is neither a likely single result nor a measure of risk tolerance.

Methodology and transparency

Calculation specification reviewed on 2026-10-14. Mathematical implementation is tested against independent reference fixtures. This does not imply review by a licensed financial professional. Read the testing and precision policy.